Define T: R → R² by T(x) = Ax. Find a basis B for R? with the property that [T]B is diagonal. 4 - 3 A = - 5 2 A basis for R2 with the property that [T], is diagonal is { }. (Type a vector or list of vectors. Use a comma to separate vectors as needed.)

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A:

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A:

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A: Given: A=-11801111-1, B=101-118018

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A:

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A: Sketch the graph in 3 dimensional figure:

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A:

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Q: (0,0) (2,4)

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A:

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A:

Q: (7x + 2) + (3x - 1) (3x + 7) + (2x - 5) (6x2 + 10) + (-4x² - 5) (6x+ 3) + (-6x - 3) (3x + x - 1) +…

A:

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Q: -5 4 0 1 0 * 0 * 0 1 0. 0. . 1 0. 8. 0. 2 0.

A:

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A: Answer is in next step

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Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.